| LAM-Liberal Arts and Sciences-Mathematics |
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| LAM100A |
Prealgebra |
| This developmental course presents a review of arithmetic operations and basic mathematical principles. Topics covered include estimation, operations with fractions and decimals, signed numbers, percent, ratio, proportion, exponents, word problems, and an introduction to algebra. The course is divided between arithmetic and elementary algebra topics. There is a major emphasis on converting word phrases and sentences into algebraic form. Problem solving techniques with practical applications are emphasized. The use of appropriate technology is integrated throughout the course. This developmental course earns elective credits but does not apply towards requirements in general education or a concentration. (Total degree credit for developmental courses is limited to 5 quarter hours.) To be taken on a Pass/No Credit basis. 5 quarter hours |
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| LAM100B |
Basic Algebra |
| This developmental course includes the fundamental operations of algebra and is intended for students who lack credit in high school algebra or need a review of the subject matter. Topics covered include number systems, integer and rational number arithmetic, integer exponents, solutions of first degree equations and inequalities in one and two variables, polynomial operations, factoring polynomials, literal equations, graphing linear equations and inequalities, radical expressions, and solutions of second degree equations. Problem solving techniques with practical applications are emphasized. Use of appropriate technology is integrated throughout the course. This developmental course earns elective credits but does not apply towards requirements in general education or a concentration. (Total degree credit for developmental courses is limited to 5 quarter hours.) To be taken on a Pass/No Credit basis. Prerequisite: Placement or LAM100A. 5 quarter hours |
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| LAM106 |
Basic Statistics |
| An introduction to descriptive and inferential statistics for liberal arts, psychology, and human service students whose background in mathematics is insufficient for LAM216 Statistical Methods. This course teaches students how to think about statistical issues and de-emphasizes mathematical computation. Its purpose is to help students analyze data and use basic statistical methods with understanding. Topics include: experimental design, data distributions, graphing techniques, measures of central tendency and dispersion, the normal curve, correlation, regression, and hypothesis testing. A graphing calculator will be required for this course. This course does not apply toward any math concentration and is not IAI transferable as a general education mathematics requirement. Note: Since LAM106 and LAM216 cover essentially the same topics, but at two different levels, they may not both be taken for graduation credit. Prerequisites: LAM100B (Basic Algebra) or equivalent or placement. Counts in the Quantitative Reasoning Area of General Education Requirements. 5 quarter hours |
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| LAM107 |
Utilization of Microcomputers |
| An entry-level survey course providing students with a strong base of knowledge about the broad aspects of microcomputer utilization. Acquisition of rudimentary knowledge of data bases, spread sheets, word processing, and software selection through extensive demonstration and hands-on experience. Not used for math credit. 2 quarter hours |
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| LAM108 |
Overview of Computers |
| Introduction to the concepts of computers, information processing, programming, and the impact of computers on society. An overview of common computer hardware is provided, as well as the history of events leading to the development of the computer industry. Details of data representation and internal operation of computers included. Hands-on laboratory activities. Not for math credit. 2 quarter hours |
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| LAM110 |
College Mathematics/Application of Mathematical Ideas |
| This course provides the basic preparation for more specialized courses in mathematics as determined by the student's major. The intermediate algebra topics of the course are a prerequisite for transferable college mathematics courses. Topics include graphical, symbolic, and numeric solutions of problems, number systems, integer and rational exponents, radicals, functions, first and second degree equations and inequalities, systems of equations and inequalities, measurement, and geometry. Although emphasis is placed on the development of algebraic skills, problem solving is a main component of the course. A graphing calculator is required. The course does not apply toward a math concentration or major and is not IAI transferable as a general education requirement. Prerequisites: LAM100A and LAM100B or placement. Counts in the Quantitative Reasoning Area of General Education Requirements. 5 quarter hours |
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| LAM111 |
Logarithm/Trigonometry Unit for Allied Health Students |
| This module surveys exponential and logarithmic functions and their graphs, computations with logarithms and computational right triangle trigonometry and their applications. Required of Allied Health students who take LAM110 College Mathematics to fulfill their mathematics requirement. To be taken on a Pass/No Credit basis. This course may be applied as a free elective, but not toward a mathematics major or minor concentration. Prerequisite: LAM110 or concurrent enrollment. Counts in the Quantitative Reasoning Area of General Education Requirements. 1 quarter hour |
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| LAM112 |
Math Content for Teachers I (formerly Concepts of Mathematics) |
| This course focuses on mathematical reasoning and problem solving. It examines the underlying conceptual framework of the elementary mathematics topics of sets, numeration and number systems, whole number operations, number theory, and operations and algorithms using rational numbers expressed as fractions and decimals. Estimation, models, graphs, and manipulatives are used in a variety of problem-solving situations. The two course sequence of LAM112 and LAM213 is required for students in Early Childhood Teacher Education and Elementary Teacher Education. A weekly lab component is required. Prerequisites: LAM110 or placement. Counts in the Quantitative Reasoning Area of General Education Requirements. 5 quarter hours |
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| LAM130 |
Mathematical Thinking in an Information Age |
| This course develops conceptual understanding and problem solving, decision making, and analytical skills dealing with quantities and their magnitudes and interrelationships using calculators and computers as tools. Includes representing and analyzing data through such statistical measures as central tendency, dispersion, normal distribution and chi-square distributions, and correlation and regression to test hypotheses (maximum one-third of course); using logical statements and arguments; estimating, approximating and judging reasonableness of answers; graphing and using polynomial functions and systems of equations and inequalities in the interpretation and solution of problems; and selecting and using appropriate approaches and tools in formulating and solving real-world problems. This course applies toward the math concentration. Prerequisite: Placement or consent of department. Counts in the Quantitative Reasoning Area of General Education Requirements. 5 quarter hours |
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| LAM213 |
Math Content for Teachers II |
| This course focuses on mathematical reasoning and problem solving. It examines the underlying conceptual framework of the elementary mathematics topics of algebra and informal geometry, metric measurement, rational and real number operations, percent, probability, and statistics. Estimation, models, graphs, and manipulatives are used in a variety of problem-solving situations. The two course sequence of LAM112 and LAM213 is required for students in Early Childhood Teacher Education and Elementary Teacher Education. A weekly lab component is required. Prerequisites: LAM110 and LAM112. Counts in the Quantitative Reasoning Area of General Education Requirements. 5 quarter hours |
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| LAM214 |
Mathematics for Management Science |
| An introduction to mathematical topics with applications to business, economics, and the social sciences. Topics will include linear equations and matrices; systems of linear inequalities and linear programming; simplex method; determinants, matrices and matrix algebra; introduction to statistics; game theory, Markov chain methods, and mathematical modeling; and the mathematics of finance. Computing technology will be integrated throughout the course with an emphasis on problem-solving. This course applies toward the mathematics concentration. Prerequisite: LAM110 or LAM130 or placement. Counts in the Quantitative Reasoning Area of General Education Requirements. 5 quarter hours |
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| LAM216 |
Statistical Methods |
| Examination of the application of statistical description and inference in business, psychology, and science. Topics include: frequency distributions, graphing techniques, measures of central tendency and dispersion, normal distribution, correlations, regression, probability and sampling methods, hypothesis testing and decision making, t-tests and analysis of variance. This course does not apply toward the math concentration for education majors. Prerequisite: LAM110 or placement. Counts in the Quantitative Reasoning Area of General Education Requirements. 5 quarter hours |
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| LAM220 |
College Algebra |
| The fundamental concepts of college algebra including absolute value, factoring and roots, operations with rational exponents, and graphing are examined. Topics developed include systems of equations and inequalities, matrices and determinants, the theory of polynomials, trigonometric functions, and exponential and logarithmic functions. This course applies toward the math concentration. Prerequisite: LAM110 or placement. Counts in the Quantitative Reasoning Area of General Education Requirements. 5 quarter hours |
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| LAM225 |
Quantitative Methods in the Workplace |
| Using the context of economics, the course emphasizes the communication and interpretation of mathematical ideas, interpreting and constructing graphs and charts, and estimation and prediction. These concepts are explored with the assistance of a computer-based word processor, spreadsheet, and database. This course is designed for field-based programs. Prerequisite: Sophomore standing and academic skills assessment. Counts in the Quantitative Reasoning Area of General Education Requirements. 5 quarter hours |
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| LAM301 |
Mathematics Content for Teachers: Problem Solving |
| This course provides the students with nonroutine problem-solving experiences in a variety of situations for the purpose of improving problem-solving skills. Specifically, the course emphasizes three aspects of problem solving: problem-solving strategies, problem solving in subject areas, and problem creation. It is intended primarily as a content course for prospective elementary or middle school teachers. This course applies toward the mathematics concentration. Prerequisites: LAM110, LAM112, and LAM213 required, LAM220 recommended. Counts in the Quantitative Reasoning Area of General Education Requirements. 5 quarter hours |
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| LAM303 |
Computer Programming I |
| This course includes the study of the components of a computer, their functions and interrelationships, and a computer language and programming. Problem solving and algorithms are developed using programming in a higher-level structured language. The course introduces data types, control structures, procedures and functions, recursion, arrays, records, files, structured program design testing, and documentation using mathematical, scientific, and business applications. This course applies toward the mathematics concentration. Prerequisites: LAM220 or equivalent. 5 quarter hours |
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| LAM305 |
Computer Programming II |
| This course is a continuation of Computer Programming I (LAM303). It emphasizes data structures such as files, set pointers, lists, stacks, queues, trees, and graphs, and explores text processing, recursion, searching, and sorting. The course investigates the design and implementation of large scale problems. This course applies toward the mathematics concentration. Prerequisite: LAM303 or equivalent. 5 quarter hours |
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| LAM307 |
Investigatory Geometry and Measurement |
| This course investigates geometry and measurement and relates these to nature, art, and mathematical thought. Use of concrete materials and problem-solving techniques are included. Inductive approach provides students with another point of view as well as additional knowledge and skills. This course applies toward the mathematics concentration. Prerequisite: LAM213. Counts in the Quantitative Reasoning Area of General Education Requirements. 5 quarter hours |
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| LAM308 |
Exploratory Probability and Statistics |
| This course provides a series of learning experiences drawn from real life problems that develop probability and statistical concepts and processes. These include organizing, presenting, and interpreting data; using probability models and statistical procedures; and developing probability and statistical models. This course applies toward the mathematics concentration. Counts in the Quantitative Reasoning Area of General Education requirements. Prerequisite(s): LAM213 and LAM220. 5 quarter hours |
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| LAM309 |
Theory of Numbers |
| This course involves students in discovering, developing, and evolving ideas of elementary number theory. Topics include mathematical induction, divisibility, primes, congruences, and conditional congruences. This course applies toward the mathematics concentration. Prerequisite: LAM220. Counts in the Quantitative Reasoning Area of General Education Requirements. 5 quarter hours |
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| LAM310 |
Precalculus |
| This course acquaints students with the topics necessary in the study of calculus, including real numbers, functions, graphs, lines, conic sections, parametric equations, polar coordinates, and analytic geometry of three dimensions. Trigonometric functions, as well as applications in the solution of problems are also studied. This course applies toward the mathematics concentration. Prerequisite: LAM220 or equivalent. Counts in the Quantitative Reasoning Area of General Education Requirements. 5 quarter hours |
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| LAM311 |
Calculus I |
| Introductory concepts of calculus presented: limits, continuity, derivatives, techniques of differentiation, applications of derivatives to related rates and extrema problems, Rolle's Theorem and Mean Value Theorem, antiderivatives, and Fundamental Theorem of Calculus. This course applies toward the mathematics concentration. Prerequisite: LAM310. Counts in the Quantitative Reasoning Area of General Education Requirements. 5 quarter hours |
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| LAM312 |
Calculus II |
| Continued applications of the Fundamental Theorem of Calculus: arc length, surface area, centroids, fluid pressure, and work. Other topics include integration formulae, sequences and Riemann sums, transcendental functions, hyperbolic functions, and indeterminate forms. This course applies toward the mathematics concentration. Prerequisite: LAM311. Counts in the Quantitative Reasoning Area of General Education Requirements. 5 quarter hours |
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| LAM313 |
Calculus III |
| This course examines advanced techniques of integration, the derivatives and integrals of inverse trigonometric functions and hyperbolic functions, improper integrals, and infinite series. Topics include integration by parts, substitution, partial fractions, trigonometric substitution, and integration with tables. Infinite series, convergence, power series, and Taylor series are also included. This course applies toward the math concentration. Prerequisites: LAM311 Calculus I and LAM312 Calculus II or equivalent. Counts in the Quantitative Reasoning Area of General Education Requirements. 5 quarter hours |
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| LAM315 |
History of Mathematics: A Problem Solving Approach |
| A study of the historical development of mathematics and certain mathematical concepts from early times to the present with considerations of the problems that mathematicians have faced. The mathematical emphasis will be on famous theorems from each era. Biographies of mathematicians and historical analyses of each period will be included. This course applies toward the mathematics concentration. Prerequisite: at least one LAM112 or LAM213 and a 200-level mathematics course or equivalent. Counts in the Quantitative Reasoning Area of General Education Requirements. 5 quarter hours |
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| LAM320 |
Discrete Mathematics |
| This course provides an introduction to the topics and techniques of discrete methods, combinatorial reasoning, and finite algebraic structures. Set theory, logic, and functions provide the unifying themes as finite systems are studied. Topics include sets, counting, recursion, graph theory, trees, nets, Boolean Algebra, automata, and formal grammars and languages. The nature and importance of the algorithmic approach to problem solving is stressed. This course applies toward the mathematics concentration. Prerequisite: At least one 200-level mathematics course or consent of department. Counts in the Quantitative Reasoning Area of General Education Requirements. 5 quarter hours |
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| LAM325 |
Linear Programming |
| This course deals with the problem of minimizing or maximizing a linear function in the presence of linear inequalities. Linear programming is used by decision makers to solve multi-variable, multi-goal problems commonly found in accounting, finance, management, marketing, industry, government, military, and urban planning. Topics include the study of linear inequalities, linear programming problems, and solving problems by the simplex method. This course applies toward the mathematics concentration. Prerequisite: LAM214 or LAM220 or consent of department. Counts in the Quantitative Reasoning Area of General Education Requirements. 5 quarter hours |
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| LAM330 |
Matrix Algebra |
| This course presents the most basic laws of matrix algebra. Methods for obtaining a complete solution of any given system of linear equations, homogeneous or nonhomogeneous, are introduced. This method allows extensive use of concrete examples and exercises to facilitate the learning of abstract concepts. This course applies toward the mathematics concentration. Prerequisite: LAM220 or consent of department. Counts in the Quantitative Reasoning Area of General Education Requirements. 5 quarter hours |
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| LAM350 |
Modern Algebra |
| Through a development of the real number system and its subsystems, the structural ideas that underlie arithmetic and algebra are examined. When appropriate, calculators are used to illustrate and apply the properties of real numbers. Roles of symbolic logic, proof, and functions are explored. This course applies toward the mathematics concentration. Prerequisite: LAM311. Counts in the Quantitative Reasoning Area of General Education Requirements. 5 quarter hours |
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| LAM403 |
Mathematical Probability and Statistics |
| This course develops the theories of probability and statistics from a theoretical standpoint. Topics include: mutually exclusive events, independent and dependent events, conditional probability, combinatorics, discrete and continuous random variables, sampling methods, confidence intervals, hypothesis testing, and analysis of variance. This course applies toward the mathematics concentration. Counts in the Quantitative Reasoning Area of General Education requirements. Prerequisite(s): LAM308 recommended and LAM311 required. 5 quarter hours |
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| LAM405 |
Geometry |
| Major concepts of Euclidean geometry and selected non-Euclidean geometries are examined. Theorems of the reals, incidence, congruence, and distance are proved using a variety of methods. Various interpretations of geometry through numbers, vectors, and transformations of the plane are explored. This course applies toward the mathematics concentration. Prerequisite: LAM311 required; LAM307 recommended. Counts in the Quantitative Reasoning Area of General Education Requirements. 5 quarter hours |
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| LAM410 |
Linear Algebra |
| This course is designed to introduce some of the basic concepts and techniques of linear algebra. The emphasis is on intuitive development and application of computational tools. Matrices and systems of equations are used as vehicles for the introduction, application, and interpretation of vector spaces, subspaces, independence, and dimension. This course applies toward the mathematics concentration. Prerequisite: LAM312 or consent of department. Counts in the Quantitative Reasoning Area of General Education Requirements. 5 quarter hours |
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| LAM490 |
Mathematics Independent Study |
| Students conduct in-depth examinations of a topic in mathematics culminating in an interpretive report. Prerequisites: LAM220, consent of instructor. Counts in the Quantitative Reasoning Area of General Education Requirements. 2-5 quarter hours |
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| LAM491 |
Applied Project in Quantitative Studies |
| Provides an applied experience within the university to work with a practicing professional integrating academic knowledge and research skills. Engages the student in computer programming, statistical analysis and/or other quantitative activities. May be taken several times for a maximum total of 10 hours credit. Admission to the applied project course requires departmental permission. Counts in the Quantitative Reasoning Area of General Education Requirements. 5 quarter hours |
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| LAM492 |
Quantitative Studies Internship |
| Provides on-the-job experience at a local scientific, business, educational, or industrial setting; offers the opportunity to integrate academic knowledge and skills with the demands of the professional work environment. A minimum of 15 hours per week for 10 weeks of on-site experience totaling a minimum of 150 clock-hours per quarter is required for 5 quarter hours of credit. May be taken several times for a maximum total of 10 hours credit. Admission to the internship program requires departmental permission. Counts in the Quantitative Reasoning Area of General Education Requirements. 5 quarter hours |
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| LAM495 |
Mathematics Special Topics |
| A particular aspect of mathematics is selected to be studied in depth. Since the topic varies each term, the course may be taken more than once. Prerequisites: Varies with the topic, at least LAM110, consent of instructor. Counts in the Quantitative Reasoning Area of General Education Requirements. 2-5 quarter hours |
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| LAM499 |
Mathematics Seminar |
| Library research and discussion is conducted on a selected problem area. Prerequisites: LAM220, consent of the instructor. Counts in the Quantitative Reasoning Area of General Education Requirements. 2-5 quarter hours |
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